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von Neumann: minimax theorem for zero-sum games

Proved equality of maximin and minimax values for finite two-person zero-sum games when mixed strategies are allowed, establishing the existence of an optimal game value.

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Proved equality of maximin and minimax values for finite two-person zero-sum games when mixed strategies are allowed, establishing the existence of an optimal game value.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is von Neumann's sole-author 1928 Mathematische Annalen paper. It does not absorb later game-theory axiomatizations, Nash equilibrium for general noncooperative games, cooperative games or economic applications.

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People and systems

John von Neumann

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: Germany

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English catalogue narrative

von Neumann: minimax theorem for zero-sum games

Proved equality of maximin and minimax values for finite two-person zero-sum games when mixed strategies are allowed, establishing the existence of an optimal game value.

Scientific scope

The record is von Neumann's sole-author 1928 Mathematische Annalen paper. It does not absorb later game-theory axiomatizations, Nash equilibrium for general noncooperative games, cooperative games or economic applications.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

John von Neumann

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources